Answer: 48 people.
Step-by-step explanation:
1. You know that [tex]n[/tex] represents tha number of people that the cable car can safely carry.
2. If you know that there are [tex]\frac{3}{4}n[/tex] and only 12 more people can board it before it becomes unsafe, you can write the following expression:
[tex]n=\frac{3}{4}n+12[/tex]
3. Now, you must solve for [tex]n[/tex].
4. Then, the number of people that the cable car safely carry is:
[tex]n-\frac{3}{4}n=12\\\frac{1}{4}n=12\\n=12*4\\n=48[/tex]
